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Finding the Fourth Proportional to 129.14, 177.24 and 125.54

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Solution

The fourth proportional to 129.14, 177.24 and 125.54 is: 172.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.14 : 177.24 = 125.54 : x
  2. Step 2: Convert to fraction form
    129.14/177.24 = 125.54/x
  3. Step 3: Cross multiply
    129.14x = 177.24 × 125.54
  4. Step 4: Simplify right side
    129.14x = 22,250.08
  5. Step 5: Solve for x
    x = 22,250.08/129.14
  6. Step 6: Final answer
    x = 172.29

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.